20835216 has 60 divisors (see below), whose sum is σ = 59748780. Its totient is φ = 6773760.

The previous prime is 20835211. The next prime is 20835233. The reversal of 20835216 is 61253802.

It can be written as a sum of positive squares in 2 ways, for example, as 1440000 + 19395216 = 1200^2 + 4404^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20835216.

It is not an unprimeable number, because it can be changed into a prime (20835211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4140 + ... + 7668.

It is an arithmetic number, because the mean of its divisors is an integer number (995813).

Almost surely, 2^20835216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20835216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29874390).

20835216 is an abundant number, since it is smaller than the sum of its proper divisors (38913564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20835216 is a wasteful number, since it uses less digits than its factorization.

20835216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 20835216 is about 4564.5608770176. The cubic root of 20835216 is about 275.1688923960.

The spelling of 20835216 in words is "twenty million, eight hundred thirty-five thousand, two hundred sixteen".